Landscape

Select a theory SU(2): 4 fund + 4 anti-fund (not completed) SU(2): 1 Adj + 1 fund + 1 anti-fund SU(2): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(2): 1 Adj + 3 fund + 3 anti-fund (not completed) SU(2): 2 Adj SU(2): 2 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(5): 2 rank-2 symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm + 1 fund + 1 anti-fund SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + (conj.) (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(6): 2 rank-2 symm + (conj.) SU(6): 2 rank-2 symm + 1 fund + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(7): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 8 fund (not completed) SU(7): 2 rank-2 symm + 1 fund + (conj.) (not completed) SU(8): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 9 fund + 1 anti-fund (not completed) SU(9): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 16 anti-fund (not completed) SU(9): 2 rank-2 symm + (conj.) (not completed) SU(9): 2 rank-2 symm + 1 fund (conj.) (not completed) SU(10): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 1 fund + 17 anti-fund (not completed) SO(5): 5 vector (not completed) SO(5): 1 Adj + 1 vector SO(5): 1 Adj + 2 vector SO(5): 1 rank-2 symm SO(5): 1 rank-2 symm + 1 vector SO(5): 1 rank-2 symm + 2 vector Sp(2): 1 Adj + 2 fund Sp(2): 1 14 + 2 fund Sp(2): 2 Adj Sp(2): 1 Adj + 2 rank-2 anti-symm + 8 fund (not completed) G2: 1 Adj + 1 fund E[USp(6)] (not completed) All theories Data used in arXiv:2408.02953

$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =

Check if you want only theories with rational charges.

Chosen Fixed Point

Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.

#	Theory	Superpotential	Central charge $a$	Central charge $c$	Ratio $a/c$	Matter field: $R$-charge	U(1) part of $F_{UV}$	Rank of $F_{UV}$	Rational
979	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{7}$	0.7363	0.9181	0.802	[M:[0.9094, 0.9094, 0.9094, 0.9094, 1.0906, 0.7282, 0.9094], q:[0.6359, 0.4547], qb:[0.4547, 0.6359], phi:[0.4547]]	[M:[[4, 6, 1], [0, -2, -1], [6, 4, 1], [-2, 0, -1], [-2, -2, 0], [6, 6, 0], [2, 2, 0]], q:[[-6, -6, -1], [2, 0, 0]], qb:[[0, 2, 0], [0, 0, 1]], phi:[[1, 1, 0]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{6}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}^{2}$	${}$	-8	t^2.184 + 6*t^2.728 + 3*t^4.092 + t^4.369 + 4*t^4.636 + 6*t^4.913 + 3*t^5.18 + 17*t^5.456 - 8*t^6. + 3*t^6.277 - 5*t^6.544 + t^6.553 + 18*t^6.82 + 6*t^7.097 + 13*t^7.364 + 17*t^7.641 + 3*t^7.908 + 32*t^8.184 - 7*t^8.451 + 3*t^8.461 - 38*t^8.728 + t^8.738 - t^4.364/y - t^6.549/y - (5*t^7.092)/y + (5*t^7.636)/y + (6*t^7.913)/y + t^8.18/y + (15*t^8.456)/y - t^8.733/y - t^4.364*y - t^6.549*y - 5*t^7.092*y + 5*t^7.636*y + 6*t^7.913*y + t^8.18*y + 15*t^8.456*y - t^8.733*y	g1^6*g2^6*t^2.184 + 2*g1^2*g2^2*t^2.728 + t^2.728/(g1^2*g3) + t^2.728/(g2^2*g3) + g1^6*g2^4*g3*t^2.728 + g1^4*g2^6*g3*t^2.728 + g1^5*g2*t^4.092 + g1^3*g2^3*t^4.092 + g1*g2^5*t^4.092 + g1^12*g2^12*t^4.369 + t^4.636/(g1^3*g2^5*g3) + t^4.636/(g1^5*g2^3*g3) + g1^3*g2*g3*t^4.636 + g1*g2^3*g3*t^4.636 + 2*g1^8*g2^8*t^4.913 + (g1^6*g2^4*t^4.913)/g3 + (g1^4*g2^6*t^4.913)/g3 + g1^12*g2^10*g3*t^4.913 + g1^10*g2^12*g3*t^4.913 + t^5.18/(g1^5*g2^5) + t^5.18/(g1^11*g2^11*g3^2) + g1*g2*g3^2*t^5.18 + g1^6*g2^2*t^5.456 + 5*g1^4*g2^4*t^5.456 + g1^2*g2^6*t^5.456 + t^5.456/(g1^4*g3^2) + t^5.456/(g2^4*g3^2) + t^5.456/(g1^2*g2^2*g3^2) + (g1^2*t^5.456)/g3 + (g2^2*t^5.456)/g3 + g1^8*g2^6*g3*t^5.456 + g1^6*g2^8*g3*t^5.456 + g1^12*g2^8*g3^2*t^5.456 + g1^10*g2^10*g3^2*t^5.456 + g1^8*g2^12*g3^2*t^5.456 - 4*t^6. - (g1^2*t^6.)/g2^2 - (g2^2*t^6.)/g1^2 - t^6./(g1^6*g2^6*g3^2) - g1^6*g2^6*g3^2*t^6. + g1^11*g2^7*t^6.277 + g1^9*g2^9*t^6.277 + g1^7*g2^11*t^6.277 - t^6.544/(g1^4*g2^4) - t^6.544/(g1^6*g2^8*g3) - t^6.544/(g1^8*g2^6*g3) - (g3*t^6.544)/g1^2 - (g3*t^6.544)/g2^2 + g1^18*g2^18*t^6.553 + 2*g1^7*g2^3*t^6.82 + 2*g1^5*g2^5*t^6.82 + 2*g1^3*g2^7*t^6.82 + (g1^5*t^6.82)/(g2*g3) + (2*g1^3*g2*t^6.82)/g3 + (2*g1*g2^3*t^6.82)/g3 + (g2^5*t^6.82)/(g1*g3) + g1^11*g2^5*g3*t^6.82 + 2*g1^9*g2^7*g3*t^6.82 + 2*g1^7*g2^9*g3*t^6.82 + g1^5*g2^11*g3*t^6.82 + 2*g1^14*g2^14*t^7.097 + (g1^12*g2^10*t^7.097)/g3 + (g1^10*g2^12*t^7.097)/g3 + g1^18*g2^16*g3*t^7.097 + g1^16*g2^18*g3*t^7.097 + g1*g2*t^7.364 + t^7.364/(g1^3*g2^7*g3^2) + (2*t^7.364)/(g1^5*g2^5*g3^2) + t^7.364/(g1^7*g2^3*g3^2) + t^7.364/(g1*g2^3*g3) + t^7.364/(g1^3*g2*g3) + g1^5*g2^3*g3*t^7.364 + g1^3*g2^5*g3*t^7.364 + g1^9*g2^5*g3^2*t^7.364 + 2*g1^7*g2^7*g3^2*t^7.364 + g1^5*g2^9*g3^2*t^7.364 + g1^12*g2^8*t^7.641 + 5*g1^10*g2^10*t^7.641 + g1^8*g2^12*t^7.641 + (g1^6*g2^2*t^7.641)/g3^2 + (g1^4*g2^4*t^7.641)/g3^2 + (g1^2*g2^6*t^7.641)/g3^2 + (g1^8*g2^6*t^7.641)/g3 + (g1^6*g2^8*t^7.641)/g3 + g1^14*g2^12*g3*t^7.641 + g1^12*g2^14*g3*t^7.641 + g1^18*g2^14*g3^2*t^7.641 + g1^16*g2^16*g3^2*t^7.641 + g1^14*g2^18*g3^2*t^7.641 - t^7.908/(g1*g2^5) - t^7.908/(g1^3*g2^3) - t^7.908/(g1^5*g2) + t^7.908/(g1^11*g2^13*g3^3) + t^7.908/(g1^13*g2^11*g3^3) + t^7.908/(g1^9*g2^9*g3^2) + g1^3*g2^3*g3^2*t^7.908 + g1^7*g2^5*g3^3*t^7.908 + g1^5*g2^7*g3^3*t^7.908 + g1^10*g2^2*t^8.184 + 2*g1^6*g2^6*t^8.184 + g1^2*g2^10*t^8.184 + t^8.184/(g1^6*g3^3) + t^8.184/(g2^6*g3^3) + t^8.184/(g1^2*g2^4*g3^3) + t^8.184/(g1^4*g2^2*g3^3) + (g1^2*t^8.184)/(g2^2*g3^2) + (g2^2*t^8.184)/(g1^2*g3^2) + (g1^6*t^8.184)/g3 + (3*g1^4*g2^2*t^8.184)/g3 + (3*g1^2*g2^4*t^8.184)/g3 + (g2^6*t^8.184)/g3 + g1^12*g2^6*g3*t^8.184 + 3*g1^10*g2^8*g3*t^8.184 + 3*g1^8*g2^10*g3*t^8.184 + g1^6*g2^12*g3*t^8.184 + g1^14*g2^10*g3^2*t^8.184 + g1^10*g2^14*g3^2*t^8.184 + g1^18*g2^12*g3^3*t^8.184 + g1^16*g2^14*g3^3*t^8.184 + g1^14*g2^16*g3^3*t^8.184 + g1^12*g2^18*g3^3*t^8.184 - t^8.451/(g1^7*g2^7) - t^8.451/(g1^13*g2^13*g3^2) - t^8.451/(g1^9*g2^11*g3) - t^8.451/(g1^11*g2^9*g3) - (g3*t^8.451)/(g1^3*g2^5) - (g3*t^8.451)/(g1^5*g2^3) - (g3^2*t^8.451)/(g1*g2) + g1^17*g2^13*t^8.461 + g1^15*g2^15*t^8.461 + g1^13*g2^17*t^8.461 - 2*g1^4*t^8.728 - 8*g1^2*g2^2*t^8.728 - 2*g2^4*t^8.728 - t^8.728/(g1^6*g2^8*g3^3) - t^8.728/(g1^8*g2^6*g3^3) - t^8.728/(g1^4*g2^4*g3^2) - (5*t^8.728)/(g1^2*g3) - (5*t^8.728)/(g2^2*g3) - 5*g1^6*g2^4*g3*t^8.728 - 5*g1^4*g2^6*g3*t^8.728 - g1^8*g2^8*g3^2*t^8.728 - g1^12*g2^10*g3^3*t^8.728 - g1^10*g2^12*g3^3*t^8.728 + g1^24*g2^24*t^8.738 - (g1*g2*t^4.364)/y - (g1^7*g2^7*t^6.549)/y - (g1^3*g2^3*t^7.092)/y - (g1*t^7.092)/(g2*g3*y) - (g2*t^7.092)/(g1*g3*y) - (g1^7*g2^5*g3*t^7.092)/y - (g1^5*g2^7*g3*t^7.092)/y + t^7.636/(g1*g2*y) + t^7.636/(g1^3*g2^5*g3*y) + t^7.636/(g1^5*g2^3*g3*y) + (g1^3*g2*g3*t^7.636)/y + (g1*g2^3*g3*t^7.636)/y + (2*g1^8*g2^8*t^7.913)/y + (g1^6*g2^4*t^7.913)/(g3*y) + (g1^4*g2^6*t^7.913)/(g3*y) + (g1^12*g2^10*g3*t^7.913)/y + (g1^10*g2^12*g3*t^7.913)/y + t^8.18/(g1^5*g2^5*y) + (g1^6*g2^2*t^8.456)/y + (3*g1^4*g2^4*t^8.456)/y + (g1^2*g2^6*t^8.456)/y + t^8.456/(g1^2*g2^2*g3^2*y) + (2*g1^2*t^8.456)/(g3*y) + (2*g2^2*t^8.456)/(g3*y) + (2*g1^8*g2^6*g3*t^8.456)/y + (2*g1^6*g2^8*g3*t^8.456)/y + (g1^10*g2^10*g3^2*t^8.456)/y - (g1^13*g2^13*t^8.733)/y - g1*g2*t^4.364*y - g1^7*g2^7*t^6.549*y - g1^3*g2^3*t^7.092*y - (g1*t^7.092*y)/(g2*g3) - (g2*t^7.092*y)/(g1*g3) - g1^7*g2^5*g3*t^7.092*y - g1^5*g2^7*g3*t^7.092*y + (t^7.636*y)/(g1*g2) + (t^7.636*y)/(g1^3*g2^5*g3) + (t^7.636*y)/(g1^5*g2^3*g3) + g1^3*g2*g3*t^7.636*y + g1*g2^3*g3*t^7.636*y + 2*g1^8*g2^8*t^7.913*y + (g1^6*g2^4*t^7.913*y)/g3 + (g1^4*g2^6*t^7.913*y)/g3 + g1^12*g2^10*g3*t^7.913*y + g1^10*g2^12*g3*t^7.913*y + (t^8.18*y)/(g1^5*g2^5) + g1^6*g2^2*t^8.456*y + 3*g1^4*g2^4*t^8.456*y + g1^2*g2^6*t^8.456*y + (t^8.456*y)/(g1^2*g2^2*g3^2) + (2*g1^2*t^8.456*y)/g3 + (2*g2^2*t^8.456*y)/g3 + 2*g1^8*g2^6*g3*t^8.456*y + 2*g1^6*g2^8*g3*t^8.456*y + g1^10*g2^10*g3^2*t^8.456*y - g1^13*g2^13*t^8.733*y

Deformation

Here is the data for the deformed fixed points from the chosen fixed point.

#	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More Info.	Rational
1515	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{3}M_{7}$	0.7184	0.8903	0.8069	[M:[0.9561, 0.9328, 1.0555, 0.8334, 1.0555, 0.8334, 0.9445], q:[0.5219, 0.5219], qb:[0.4225, 0.6447], phi:[0.4722]]	2*t^2.5 + t^2.798 + 2*t^2.833 + t^2.868 + t^3.167 + t^3.952 + 2*t^4.25 + 3*t^4.548 + t^4.618 + 2*t^4.917 + 3*t^5. + t^5.285 + 2*t^5.298 + 3*t^5.333 + 2*t^5.368 + t^5.597 + 6*t^5.667 + t^5.737 + t^5.965 - 4*t^6. - t^4.417/y - t^4.417*y	detail
1516	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{3}\phi_{1}^{2}$	0.7184	0.8903	0.8069	[M:[0.9561, 0.9328, 1.0555, 0.8334, 1.0555, 0.8334, 0.9445], q:[0.5219, 0.5219], qb:[0.4225, 0.6447], phi:[0.4722]]	2*t^2.5 + t^2.798 + 2*t^2.833 + t^2.868 + t^3.167 + t^3.952 + 2*t^4.25 + 3*t^4.548 + t^4.618 + 2*t^4.917 + 3*t^5. + t^5.285 + 2*t^5.298 + 3*t^5.333 + 2*t^5.368 + t^5.597 + 6*t^5.667 + t^5.737 + t^5.965 - 4*t^6. - t^4.417/y - t^4.417*y	detail

Equivalent Fixed Points from Other Seed Theories

Here is a list of equivalent fixed points from other gauge theories.

#	Theory	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More Info.	Rational

Equivalent Fixed Points from the Same Seed Theory

Below is a list of equivalent fixed points from the same seed theories.

id	Theory	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	More Info.	Rational

Previous Theory

The previous fixed point before deforming to get the chosen fixed point.

#	Theory	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More Info.	Rational
607	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$	0.7284	0.9028	0.8068	[M:[0.9169, 0.9169, 0.9169, 0.9169, 1.0831, 0.7506], q:[0.6247, 0.4584], qb:[0.4584, 0.6247], phi:[0.4584]]	t^2.252 + 5*t^2.751 + t^3.249 + 3*t^4.126 + t^4.503 + 4*t^4.625 + 5*t^5.002 + 3*t^5.124 + 12*t^5.501 - 3*t^6. - t^4.375/y - t^4.375*y	detail